157371984 has 400 divisors, whose sum is σ = 604961280. Its totient is φ = 38257920.

The previous prime is 157371953. The next prime is 157372073. The reversal of 157371984 is 489173751.

157371984 is a `hidden beast` number, since 1 + 573 + 71 + 9 + 8 + 4 = 666.

Its product of digits (211680) is a multiple of the sum of its prime factors (140).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1896007 + ... + 1896089.

Almost surely, 2^157371984 is an apocalyptic number.

157371984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157371984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302480640).

157371984 is an abundant number, since it is smaller than the sum of its proper divisors (447589296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

157371984 is a wasteful number, since it uses less digits than its factorization.

157371984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 125 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 157371984 is about 12544.7990816912. The cubic root of 157371984 is about 539.8947943194.

The spelling of 157371984 in words is "one hundred fifty-seven million, three hundred seventy-one thousand, nine hundred eighty-four".